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Finite size scaling analysis of compact QED

G. Arnold·Th. Lippert·Th. Neuhaus·K. Schilling
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Abstract

We describe results of a high-statistics finite size scaling analysis of 4d compact U(1) lattice gauge theory with Wilson action at the phase transition point. Using a multicanonical hybrid Monte Carlo algorithm we generate data samples with more than 150 tunneling events between the metastable states of the system, on lattice sizes up to 18^4. We performed a first analysis within the Borgs-Kotecky finite size scaling scheme. As a result, we report evidence for a first-order phase transition with a plaquette energy gap, G=0.02667(20), at a transition coupling, beta_T=1.011128(11).

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G. Arnold, Th. Lippert, Th. Neuhaus, K. Schilling. 2000-11-13. Finite size scaling analysis of compact QED. https://doi.org/10.1016/s0920-5632(01)01001-5

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